Not sure of affiliations, but here's a list of Supreme Court Justices since 1910:
Horace Harmon Lurton Jan 3, 1910 - Jul 12, 1914
Charles Evans Hughes Oct 10, 1910 - Jun 10, 1916
Edward Douglass White Dec 19, 1910 - May 19, 1921
Willis Van Devanter Jan 3, 1911 - Jun 2, 1937
Joseph Rucker Lamar Jan 3, 1911 - Jan 2, 1916
Mahlon Pitney Mar 18, 1912 - Dec 31, 1922
James Clark McReynolds Oct 12, 1914 - Jan 31, 1941
Louis Dembitz Brandeis Jun 5, 1916 - Feb 13, 1939
John Hessin Clarke Oct 9, 1916 - Sep 18, 1922
William Howard Taft Jul 11, 1921 - Feb 3, 1930
George Sutherland Oct 2, 1922 - Jan 17, 1938
Pierce Butler Jan 2, 1923 - Nov 16, 1939
Edward Terry Sanford Feb 19, 1923 - Mar 8, 1930
Harlan Fiske Stone Mar 2, 1925 - Jul 2, 1941
Charles Evans Hughes Feb 24, 1930 - Jun 30, 1941
Owen Josephus Roberts Jun 2, 1930 - Jul 31, 1945
Benjamin Nathan Cardozo Mar 31, 1932 - Jul 9, 1938
Hugo LaFayette Black Aug 19, 1937 - Sep 17, 1971
Stanley Forman Reed Jan 31, 1938 - Feb 25, 1957
Felix Frankfurter Jan 30, 1939 - Aug 28, 1962
William Orville Douglas Apr 17, 1939 - Nov 12, 1975 F. D. Roosevelt
Francis William Murphy MI Feb 5, 1940 - Jul 19, 1949 F. D. Roosevelt
Harlan Fiske Stone NY F. D. Roosevelt Jul 3, 1941 - Apr 22, 1946
James Francis Byrnes SC Jul 8, 1941 - Oct 3, 1942
Robert Houghwout Jackson Jul 11, 1941 - Oct 9, 1954 Wiley Blount Rutledge Feb 15, 1943 - Sep 10, 1949
Harold Hitz Burton Oct 1, 1945 - Oct 13, 1958
Frederick Moore Vinson Jun 24, 1946 - Sep 8, 1953
Thomas Campbell Clark Aug 24, 1949 - Jun 12, 1967
Sherman Minton Oct 12, 1949 - Oct 15, 1956
Earl Warren Oct 5, 1953 - Jun 23, 1969
John Marshall Harlan II Mar 28, 1955 - Sep 23, 1971
William Joseph Brennan Oct 16, 1956 - Jul 20, 1990
Charles Evans Whittaker Mar 25, 1957 - Mar 31, 1962
Potter Stewart Oct 14, 1958 - Jul 3, 1981
Byron Raymond White Apr 16, 1962 - Jun 28, 1993
Arthur Joseph Goldberg Oct 1, 1962 - Jul 25, 1965
Abe Fortas Oct 4, 1965 - May 14, 1969
Thurgood Marshall Oct 2, 1967 - Oct 1, 1991
Warren Earl Burger Jun 23, 1969 - Sep 26, 1986
Harry Andrew Blackmun Jun 9, 1970 - Aug 3, 1994
Lewis Franklin Powell, Jr. Jan 7, 1972 - Jun 26, 1987
William Hubbs Rehnquist Jan 7, 1972 - Sep 26, 1986
John Paul Stevens Dec 19, 1975
Sandra Day O'Connor Sep 25, 1981
William Hubbs Rehnquist Sep 26, 1986 -
Antonin Scalia Sep 26, 1986
Anthony McLeod Kennedy Feb 18, 1988
David Hackett Souter Oct 9, 1990
Clarence Thomas Oct 23, 1991
Ruth Joan Bader Ginsburg Aug 10, 1993
Stephen Gerald Breyer

it also depends on what's considered greek, many of these justices are members of a law fraternity such as Phi Alpha Delta or Phi Delta Theta, which are professional organizations

From the Beta Theta Pi HQ website:

"There was a Beta on the Supreme Court from 1877 to 1975, including the late Justice William O. Douglas, Whitman ’20. In 1911 there were four members who were Betas. Between 1881-1889 three members of the court were Betas."

Chief Justice Tom Clark was a Delt and was Chief Justice at the same time as being National President of Delta Tau Delta.

True, and William Brennen, who was on the court during some of the same years was also a Delt.

I don't know about Sandra Day O'Conner's post-collegiate greek involvement, but she was an undergrad at Stanford in the 1950's, a time during which NPC sororities, at least - and from the text of the Board of Trustees meeting abolishing the sororities, I would be inclined to say all sororities - were banned.

edited to add emphasis

Harry Blackman, Harvard.

Also at one time, All of The Nevada Supreme Court Justices Are LXA's! Not sure about now?:)

Just to clarify Phi Delta Theta is a member of NIC and is not a professioanl law fraternity, but a social organization. I think you may mean Theta Delta Phi.

:-)

My bad. Brain fart. I meant Delta Theta Phi. There's another one too, but we don't have a chapter at my law school

Unless he became an honorary member or alumnus initiate, he probably wasn't in an NIC GLO. He attended Catholic schools, Mount St. Mary's College & Seminary (now University), the College of the Immaculate Conception (which merged with Loyola University of New Orleans (LUNO)) and Georgetown University, which did not have these types of organizations.

From what I understand, MSM & Georgetown still don't have them. However, LUNO did establish Beta Epsilon Gamma Gamma Alpha Rho Sigma (BEGGARS) in 1923. It was the first fraternal organization authorized by the Holy See to exist on a Jesuit campus.

Brother Butler was initiated at Phi Kappa Psi's Minnesota Alpha chapter at Carleton College.

In case you didn't know her affiliation Ruth Bader Ginsburg is an AEPhi alum from our Kappa chapter at Cornell. Also proud to say she is from Brooklyn, New York and went to same high school as a quarter of my chapter.

So I'll start a post trying to keep track:

AEPhi:
Ruth Bader Ginsburg

Beta:
William O. Douglas

Deke:
John Hessin Clarke

DTD:
Tom Clark
William Brennan

DU:
Charles Evans Hughes

LXA:
Harry Blackmun

Phi Delta Theta:
Sherman Minton

Phi Kappa Psi:
Pierce Butler

Pi Beta Phi:
Sandra Day O'Connor

Psi Upsilon:
William Taft

I'll edit as people post

I'm pretty sure that Beta has had the most. I think that I once read that they had 4 brothers on the Supreme Court at the same time.

ETA you can dig for this type of information here: http://politicalgraveyard.com/offices/judic1.html

Charles Evans Hughes Oct 10, 1910 - Jun 10, 1916 - Delta Upsilon
John Hessin Clarke Oct 9, 1916 - Sep 18, 1922 - Delta Kappa Epsilon
William Howard Taft Jul 11, 1921 - Feb 3, 1930 - Psi Upsilon
Pierce Butler Jan 2, 1923 - Nov 16, 1939 - Phi Kappa Psi
Sherman Minton Oct 12, 1949 - Oct 15, 1956 - Phi Delta Theta
Ruth Joan Bader Ginsburg Aug 10, 1993 - Alpha Epsilon Phi